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132020011523340 = 223352931574347353
BaseRepresentation
bin11110000001001001001101…
…111000111101110100001100
3122022102222201121001212001000
4132001021031320331310030
5114301003440422221330
61144441053411220300
736544062646306263
oct3601111570756414
9568388647055030
10132020011523340
113907a410828756
12129824428a7690
1358885839ca215
142485b346935da
15103e22431b560
hex78124de3dd0c

132020011523340 has 384 divisors, whose sum is σ = 438683819212800. Its totient is φ = 32888441456640.

The previous prime is 132020011523339. The next prime is 132020011523341. The reversal of 132020011523340 is 43325110020231.

132020011523340 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 200 + 115 + 2 + 3 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (132020011523339) and next prime (132020011523341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132020011523341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2787973104 + ... + 2788020456.

It is an arithmetic number, because the mean of its divisors is an integer number (1142405779200).

Almost surely, 2132020011523340 is an apocalyptic number.

132020011523340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132020011523340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219341909606400).

132020011523340 is an abundant number, since it is smaller than the sum of its proper divisors (306663807689460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132020011523340 is a wasteful number, since it uses less digits than its factorization.

132020011523340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53174 (or 53166 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 132020011523340 its reverse (43325110020231), we get a palindrome (175345121543571).

The spelling of 132020011523340 in words is "one hundred thirty-two trillion, twenty billion, eleven million, five hundred twenty-three thousand, three hundred forty".